Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / Chin-Yu Hsiao.

Format:

Book

Author/Creator:

Hsiao, Chin-Yu, author.

Series:

Memoirs of the American Mathematical Society ; no. 1217.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1217

Language:

English

Subjects (All):

Embedding theorems.

CR submanifolds.

Manifolds (Mathematics).

Embeddings (Mathematics).

Kernel functions.

Asymptotic expansions.

Functions of several complex variables.

Integral geometry.

Physical Description:

v, 142 pages ; 26 cm.

Place of Publication:

Providence, RI : AMS, American Mathematical Society, [2018]

Contents:

1. Introduction and statement of the main results

2. More properties of the phase [capital letter Pi](x, y, s)

3. Preliminaries

4. Semi-classical [box](q)b,k and the characteristic manifold for [box](q)b,k

5. The heat equation for the local operatot [box](q)s

6. Semi-classical Hodge decomposition theorems for [box](q)s,k in some non-degenerate part of E

7. Szegő kernel asymptotic for lower energy forms

8. Almost Kodaira embedding Theorems on CR manifolds

9. Asymptotic expension of the Szegő kernel

10. Szegő kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR, S1 actions

11. Szegő kernel asymptotics on some non-compact CR manifolds

12. The proof of Theorem 5.28.

Notes:

"July 2018, volume 254, number 1217 (fifth of 5 numbers)."

Includes bibliographical references.

ISBN:

9781470441012

1470441012

OCLC:

1048612936